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Finding the Fourth Proportional to 1,294,722, 1,942,083 and 408,258

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Solution

The fourth proportional to 1,294,722, 1,942,083 and 408,258 is: 612,387

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,722 : 1,942,083 = 408,258 : x
  2. Step 2: Convert to fraction form
    1,294,722/1,942,083 = 408,258/x
  3. Step 3: Cross multiply
    1,294,722x = 1,942,083 × 408,258
  4. Step 4: Simplify right side
    1,294,722x = 792,870,921,414
  5. Step 5: Solve for x
    x = 792,870,921,414/1,294,722
  6. Step 6: Final answer
    x = 612,387

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.